I will try to make my point once more for the sake of education.
I am not sure why you are assuming that push-ups in a workout routine are exclusive of other exercises are a part of a TT players work out regimen?
I dont know either. Probably because i havnt said it that way. I said that pushups are not an effective exercise in developing a better body for TT. And i even explained that extensively.
Push-ups are a key COMPOUND bodyweight exercise. I firmly believe COMPOUND exercises are beneficial for any athlete/non-athlete. When I work out, I will do a set of squats, and then a set of push-ups in between. Other times, I will do my LIFT and then a sprint. This could be considered a high-intensity-interval-training workout. Point being, it's 100% possible to do those exercises that you may believe are more "effective and better suited" for TT but including push ups, if possible, only make that work out better.
Sure you can, but saying that pushups will make every workout a better one is way too general. For example i myself have a very well developed chest due to several years of bodybuilding. So much that it actually hindered my abilities in TT. Integrating pushups into my workout now would not only be useless but could even hurt my progress with everything else in my workouts, simply because it costs energy. Energy i could use for every other exercise that could benefit me more.
The rest of the statements is totally fine and i agree, though i wouldnt programm your workouts the way you do, but i lack information to go into detail here.
upper body strength- while there may be other exercises that build upper body strength, push ups work your chest, shoulder and triceps congruently,
I really would like to know where you read about that. Because these muscels definitly dont activate on the same level, meaning pushups definitly DO NOT work those CONGRUENTLY:
Looking to learn about pushups? Complete guide including muscles worked for major pushup variations. Plus a pushup programme. Learn more here.
www.characterstrength.co.uk
For more indepth science behind it, you can work with studies like this:
The purpose of this study was to analyze upper extremity and core muscle activation when performing push-ups with different suspension devices. Young fit male university students (n = 29) performed 3 push-ups each with 4 different suspension systems. ...
www.ncbi.nlm.nih.gov
They give you at least an idea about the concept of muscle activation.
which will lead to greater POWER and STABILITY in your TT movements.
Stability yes, power no, because non of these muscles are used in TT the way they are being used during a pushup, except for maybe the shot Der_Echte mentioned.
core stability- as someone already mentioned, push ups, especially when performed with control, are a great way to engage your core.
Again yes, they at least kinda activate the core muscles, but why do pushups for that, instead of legraises, crunches, planks, hollow body holds, or even situps. It is simply ineffective sticking with pushups for that.
Op asked if his hits will become faster and stronger if he does pushups, and it is misleading and plain wrong to tell him, that it will benefit him in that department.
As someone who has personally sustained several detrimental back injuries, I know all the well that your core is quite literally the core and foundation of your athletic ability. Any exercise that improves your core will in result improve your TT ability.
Most certainly true. But my point is still that pushups are a waste of time, if you have clearly better methods for this.
SHOULDER STABILITY- i put this one in all caps because many table tennis players do suffer shoulder problems. push-ups are one of the best ways to improve shoulder stability/strength and help prevent those cumbersome shoulder injuries.
Then train these shoulders directly. While doing pushups the frontdelts are just a helping muscle group. They are by far not doing the major work here. And please, if you train the shoulders, train them as a whole and not just the front delt. With pushups only you are ignoring completely the middle and rear delts.
Variations like the V-pushup could do the trick, but still lacking the reardelts.
Endurance- push ups are a great way to improve your muscle endurance. having greater endurance results in better performance late into matches/tournaments.
Well as long as you are not magically using your chest muscles to topspin, loop, push, and so on... well i hope you get my point.
And one last information here: I am not hating on pushups in general. I did those thousands of times, because they were needed in covid for me, for the progress in my planches.
And besides that they are a great exercise to develop a decent chest at home without any equipment. On top there are many many variations to change the focus of the exercise.
But is it an effective exercise in a workout focussed around improvement in TT? Then the answer is no.