Squish and tumble are references to fluid/air movement in a combustion chamber, not sure on his reference to valves in this case.
If you trust him then have him replace the valves and seats(if needed), if you have doubts then takes the heads to another shop for a 2nd opinion.
Any professional, in any field, that is insulted by 2nd opinions is not worth dealing with, ever.
And I have always liked this quote: "If you can't explain it simply, you don't understand it well enough"
The opposite of: "If you can't dazzle them with brilliance, baffle them with Bull Sh!t", lol
Ask mechanic what "tumbled" means, if he can't explain it in simple terms that make sense to you then HE doesn't understand it....take heads elsewhere.