You can only wind a watch forwards, because the ratchet keeps the barrel from unwinding when you take tension off the crown. Turning the crown in the other direction just relieves tension on the stem (and possibly reduces wear on the stem where it goes through the plates.
Of course if you have a AS alarm, JLC alarm, IKEPOD, etc you might turn the crown in one direction to wind the movement, and in the other direction to wind the alarm spring. Same thing on some minute repeaters.
OR you will have two crowns on your alarm watch and always forget which one does which function and what’s the right way to turn it!
Many early Seiko automatics had NO manual winding function, and can only be wound by moving the watch around - I call this the Shake-O Seiko movement.
This advice is based on what I was taught when I learned about servicing watches. If you don’t have a date (NICO!) you can go forwards and back as you like for setting the time.
Setting the date is another issue.
If you have a “quick date” set by crown, then you can pull the crown to a different position to set the date, and it doesn’t affect anything else unless you are close to midnight while doing it *(not recommended)*
If you don’t have a quick date and your old watch is semi-quick date, then you can go backwards past midnight (normally to about 9 or 10 pm) and it will catch the date finger and move the date ahead when you move the time past 1 or 2 (when the finger releases).
Repeat by going back to 9 again and forward to 2 and the date will advance another day. If this doesn’t work then your watch DOESN’T have that semi-convenient feature, and you are stuck winding it forward (or back) whichever direction is quickest to get to the day of the month you need. Turn gently, take your time, don’t flip the hands around like crazy.
Or as stated, pick another watch to wear and come back to it in a couple weeks.
These are my personal opinions; I do service watches and I have over 100 watches of my own, and I have not had a date or time setting problem in 25 years of messing with them. Except for forgetting which watch has which function...
Cazalea
Here is a Seiko with the relevant parts shown. Many other watches are laid out similarly:

Same movement with the keyless works removed and laying to the side
Here is a Vacheron that is heavily worn in the winding area. But it’s also 50+ years old and owned by a “bull in the china shop” owner. It’s the only one I can remember with this sort of wear.

As you can see by its other scars, this watch has been very badly handled by owners and repairmen alike!