I've worked in tech support both in a helpdesk environment and desksite support. Few potential recruiters have told me that because my recent jobs have been in helpdesk, I may not have the hands-on experience. I believe this is a sterotype as it's persumed that all helpdesk jobs are scripted and you do things using a script and you have no hands on experience. I'm the victim of absolutism

While the environments I've worked have involved a lot of hands-on, e.g. through a lab, there is still this negative spin that I've worked in helpdesk. For those who've worked in helpdesk, you know how we always wish if we were onsite as we think that is easier.
How should I convince emplyers I can work with problems as good or even better as I did in helpdesk?