Re: Damn right.
If the tool is unsanctioned or unpaid for *you shouldn't be using it*. Work's response to asking to use it will almost certainly be to use the official tools first before looking at purchasing the (possibly expensive) other software.
If it fixes the problem but it's not legit, that does not make it ok. It's morally slightly better to note that the third party software resolved the issue and should now be purchased legitimately, even if it's technically still illegal to use it in the first place.