I've done it with headless screws and that exact technique with surgical tubing, and with regular screws backed off a little. Have had good results with both, but tend to prefer the actual sction screws since they're what will be holding the action in the stock.

Did glue one action in a stock about 20 years ago and have been more careful since!

“Montana seems to me to be what a small boy would think Texas is like from hearing Texans.”
John Steinbeck