I also use the red top(s) I have three in my Heep. Why three? One is for the Jeep, starting lights and so on. I isolate the other two for welding. So far no issues, winching, welding or otherwise. The one I keep online so to speak is one that come with a Jeep I bought several years ago and the guy had no idea how old or what condition. It keeps a charge so I continue to use it.
I have heard from several sources not to hook a winch to the side posts. "they" say it will burn the connection inside the battery and you won't have a connection on the side post, but, that you will still have the top posts as a power source. I think, IIRC that the red top will recover quicker than the others. That's one reason I like it better.
Above it was mentioned about running a winch till it got hot. Probably not too good on the winch it's self. One thing you have to consider that the winch at full pull will out draw the alternators output. so after a long pull or a lot of pulling, you will delete a lot of your battery power. A low battery is very hard on a winch. As far as that goes, starving any electric motor for power is bad on them. It doesn't matter if it's an AC or a DC motor.
Now, as far as price, I got two of mine at Advance. I buy a lot of parts from there, many of the guys and gals at the local store know me, and when you pull my phone number, it's easy to see how much and how often I buy. So, I decided to take advantage of this and ask the sales guy.
ME: You know I am in here a lot, and I buy a lot. so now, I want to get two red tops, what kinda deal will you make me
SALESGUY: Hold on, let me get the MGR
ME: OK
so he goes and gets the manager and explains the situation
MGR: Give him 20%
ME: Kewl!
So, to make a long story short what would have cost me $233 including tax
Cost me $186
So I saved $47
No brainer for me