Hi @Sean Boyle, I think you've got some good answers here on every end of the spectrum! It is, of course, your property and you should choose what's right and makes sense to you. However, I would like to second what Daniel said. In recommending those routine maintenances, they are looking out for you and your asset. HVAC systems should be serviced twice a year to ensure longevity. I've seen some last 25+years, and I've seen some last 10. That's a big difference. You also don't live in the property, so there may have been issues the tenants didn't notice or report that could be easily fixed prior to a new tenant moving in.
I deal more with the sales side, but rentals are the same in that marketing is huge and first impressions can only be made once. Renters are sometimes pickier than buyers, so make sure everything is ready to go, priced right and then go to market. If you have a good, well maintained property that's priced right, it shouldn't be vacant for long.
Talk to your property manager and try to think of them as a teammate rather than an adversary. After all, they do work for you so they have your best interests at heart.