Being strong enough to do a handstand is a big part of learning to invert, IMO, because it goes back to having an exit strategy, just in case your leg grip gives out, or you're slippery, or whatever. Tuck and roll is one exit strategy (great if you have a mat, tougher if you're on bare floor!). When you don't have a mat, being able to simply put your hands down and support yourself with your arms until you sort your legs back out is always important.
Good for you for slowing down! Safe poling for everyone!! 🙊 (I have been ITCHING to use that smiley)
Everyone else has already given really good advice, so I don't feel the need to add anything, but I think polergirl made a very good point. Lots of strength training is a must in pole dancing, for one because many of the moves require a strength, but it's also a good safety feature.
Case in point: it's been very, very cold where I live this winter. One night I was practicing on my pole, and it was so cold I was having trouble getting my legs to stick, which is usually never a problem with me. I was sliding a bit, but nothing too dangerous. Then I hopped off for just a couple of minutes to do something else, got back on for just a last little bit of practice, went into an inverted crucifix, and all of a sudden after hanging in place for a second, I just plunged straight down because the pole had cooled off so much just in the little bit of time I'd been gone. Luckily I can hold myself in a handstand, or else I'd have topped the night off with a nice old face plant.
Everyone slips sometimes, and having the strength to hold up your bodyweight can really save your butt sometimes.