For me the two things that digital has provided and improved my enjoyment of photography, were getting rid of that stupid flapping mirror I had been putting up with since the 1960s and constantly having to reload every 36 exposures.
I have one non-birding 35mm camera kit left - a double wind Leica M3 with a suitable set of lenses. Like an old smelly dog, I still love it.
Everything else is now lightweight, quiet, reliable, doesn't need an annual service and has brought back the fun into photography, revolutionising my ability to get the shot I want whether its a bird or a grandchild.
Way back, I got real excitement from overcoming the limitations of film speed etc, developing my own film and then printing it and hopefully getting that one shot that made the whole exercise worthwhile.
The thing that brought my 35mm photography to an end was when folks stopped producing high quality affordable film scanners. Most notably for me when Sony bought out Minolta as I was scanning all my film and printing digitally. Being able to auto scan strips of 6 exposures at a time made call the difference.
The only OM camera that took mercury batteries was the OM1, mine were converted, but as they only powered the meter, it isn't disastrous. More to the point the OM1, OM2 and 10 series cameras have spring powered fabric shutters, that can get sluggish over the years and the 10 series can also suffer from a sticky magnet problem that slowed the shutter right down, so an OM4ti or care is needed when buying second hand. Most older cameras have their share of potential problems, and Olympus is no better or worse than most others.
If you have a working OM10 setup, it won't be a major investment to try it out with one of the suppliers folks have identified. That way you will know whether you are rekindling a long lost love of film photography or whether it is better just to keep your happy memories.
Have fun.
J