Interesting question... From my experience as a table tennis player, I play table tennis more like regular tennis: what I mean by that is:
Although my game starts with topspin technique - the basis of most strokes in table tennis, I tend to play my strokes using more of my upper arm rather than using more of my wrist. In addition, unlike traditional table tennis techniques, I tend to produce longer strokes - which is more like the type of strokes you would find tennis players using. I also tend to take big cuts at the ball. In addition, I try to use my legs in 2 ways: 1) I use footwork in order to get around the ball in order to be in the optimal position to hit the ball and 2) I use my legs in order to put more power into my shot.
However, I did inherit some of the table tennis mechanics. For example, 1) I start low and do a low-to-high motion in order to produce topspin (but I use my shoulder in order to produce a longer - more tennis-like stroke);
2) I rotate my arm and shoulder back into the ready position after the stroke, and I do it as fast as possible in order to recover for the next shot - Key: I highly doubt a regular tennis player would make a habit of trying to recover this quickly. After all, the shots come back a lot faster in table tennis, because the distance between players is a lot less than on a tennis court - because d = rt -> therefore, t = d/r.
Therefore, using my own skills as an example, I believe that some skills which you learn in table tennis do help you in regular tennis. In fact, not only do I believe that I would be able to use some of the principles I have learned from practicing table tennis technique and apply them to other (racquet) sports, such as tennis or pickleball and end up playing better than had you not known the principles of how to build those skills, but I KNOW that I can, because I took those principles of my table tennis skills and I applied them to playing pickleball (keep in mind what I had told you before about how I play table tennis more like regular tennis, so that helped make it a little bit of an easier transition, as well) and I played pickleball A LOT better than I had before I had started playing sport with technique. Therefore, what I proved in this example is: playing pickleball with semi-table tennis/tennis technique > playing pickleball with NO technique.
Keep in mind though, that because no two sports are exactly the same (if they were all the same, then there would be no reason to switch, right?!!!), there are so nuances you need to learn for your particular sport - and it may be the exact opposite in another sport. Therefore, you will have to train your brain regarding the differences and to not do what you are used to doing. For example, serving is completely different in all three of these sports. In particular, in tennis you serve by tossing the ball up and meeting it with your racquet high in the air. However, in pickleball, you serve underhand, by meeting the ball with your racquet below the waist.
Another example, there is no volleying in table tennis, but in tennis and pickleball, you will gave to learn it.
An additional example is learning to dink the ball in pickleball: there is no such thing in table tennis or even regular tennis.
But to answer your answer, yes, to a certain extent, I believe that you can use principles of skills which you learn about for a sport and apply them to (a) different sport(s) if the two sports are close enough (after all, sport science deals with principles, principles which apply universally - for example, how - that is, the proper way - to transfer weight - which can be applied to any sport), with the caveat that you will not be able to use everything you know from the other sport and may even have to change some things you are doing.