Hmmm........weird symtoms.....
Anything that comes to mind, should be the other way around. Works fine when cold, but drops off when it warms up......
Keep in mind when you read this, I'm not trying to offend you in any way, but just offer some observations that might save you a lot of time, money and aggravation.
When I used to work for a dealer, often a customer would bring in his machine, along with his suspected diagnosis or list of strange symptoms, that was passed along to the mechanic, who then proceeded to trouble shoot. Oftentimes, the info passed along from the customer actually impeded the diagnostic process, and this was not realized until after the job was done, often in reflection of why such a simple thing took so long to diagnose and repair.
After a few times, I realized that I had to be very careful in what I did with this info that was passed along from the customer. Totally disregard? Clarify? Re-interpret?
With that in mind, some things in your post don't make sense.
To state that it works fine in summer but screws up when cold, you have to have had the machine for at least a couple of seasons, and with only 500 hrs this raises an eyebrow. It's possible, I guess. Have you?
To state that it works slowly when below 25 but won't work at all at 30, with the rest of the info in your post, is counter-intuitive.
If you took your machine to a dealer with this info, you stand a very good chance of having your machine totally disassembled and reassembled, with a huge bill for all kinds of strange repairs, when maybe all it needed was a hydraulic oil filter and oil change, or maybe the gear pump coupler is stripped. The dealer tries to recover and ends up looking like greedy barstards, or they eat it and the mechanic gets chastised or worse, you're angry and nobody wins.
So let's start from scratch:
Have your hydraulics totally quit working?
Is your machine an AHC or ACS or SJC machine(hand or selectable hand/foot or joystick control)? Does it give any codes?
Does the hydraulic oil look okay? Is it milky or dirty-looking? Have you serviced the main and case-drain filters?
I believe it most likely that you have a problem that has nothing to do with seasons, and your observations on temperatures may be coincidental.