The stripped look is only temporary. Most tree services tend to take a little more than a home owner might. This I think is from having been called back many times for not removing enough. Al

When my palms are trimmed I ask them to take a lot - hasn't hurt the trees a bit.

If you take off too many fronds at one time, it will slightly narrow the trunk in that one spot permanently. You can see this on some palm trees if you look carefully: narrowed areas.

As long as they have not damaged the growing tip, the palms will recover rather quickly. The uglier the palm tree, the faster it will recover.

They will look gorgeous by the end of Spring.
I had that happen once and it only took a few months for the trees to recover their shape.

If there are at least 8 fronds, including the ones that are closed and tight in the middle, you will be fine. and I would not worry about the trunk narrowing, that is from transplanting or a sever season of neglect with no water. While it could be caused by over pruning, it would take cutting even the center frond and probably doing that 2 years in a row. There should be enough growth by the end of spring to give it an attractive fuller look. You might want to take a picture and next time tell them "not like this" and then another pic when it reaches the minimum amount of fill that you find acceptable and tell them "Leave at least this much"