Ss, the reality that you actually have is that you are either an employee or an employer (i don't know) for a tree outfit that is growing by leaps and bounds. If you are the employer, that's cool, you should lead by example. I'm sure you know this, but if there is an severe injury on your jobsite, you will be investigated and fined if your company isn't wearing the correct minimum standard of ppe, usually more than what the new bucket truck cost. So you can do two different approaches here, you can try to get by doing the absolute minimum or less, or you can dress the part and understand that no one ever plans on getting hurt so coming up with a plan of how to continuously improve safety and efficiency will be money well spent.
If you are simply an employee, then you once again have a choice. Your employer probably requires that you wear the appropriate ppe, so there you go. You can choose to ignore this, but understand that your job may be the cost. I have chosen to ignore certain safety rules in my employment, but i made that decision accepting certain things, like when i chose to run a grinder without a guard and i broke my finger on the job. I simply popped it back in place, and continued work with said broken finger. Because of me constantly working on my knees, i have also chosen to not wear steel toe boots because doing so will cause foot injury later in life. I work accordingly (and as a pipeline welder, all i do is weld, not work with the grunting heavy stuff as much), but fully accept the risks myself. The likely injury that steel toe boots in my trade will protect against is simply a broken toe, unlike a mishap with a saw where amputated toes carry a high likelihood of not being able to walk let alone work. Considering that, maybe wearing steel toes is probably a good idea.