God no! I've had two leaks, out of literally tens of thousands crimp conections. Both leaks were installer error. One time my tool suddenly went out of calibration which I could feel in the action and quickly remedied. The other time I crimped it way crooked and I returned the next day with my compound offset crimper, cut out the bad connection and recrimped....
You will need two fittings to connect 3/8 tubing to 3/8 compression together. Use Teflon tape between the two fittings to prevent leaks, but don't use any on the compression fitting. Remove and discard the brass compression nut and brass compression ring/sleeve to connect your 3/8 hose.
John Guest - Straight Adaptor – Nptf Thread
Part No. PI011223S --- ...
That's likely the wrong fitting for the job. Shark bite style fittings typically are for pec, Cpvc and copper. Below is the list for branded products.
Copper pipe hard drawn Type K, L and M and annealed Type M not to exceed 3/8 nominal, complying with ASTM B88
PEX pipe complying with ASTM F 876 or CSA B137.5
CPVC pipe complying with ASTM D 2846 or CSA ...
When you say "push connection" I assume you mean a push-to-connect adapter. They're often called "Sharkbites" colloquially, although Sharkbite is only one of several manufacturers that make them.
The push-to-connect fittings are more convenient to work with because they don't require special tools to make the connection, and it's possible to remove them and ...
I would measure the depth to the stop point in the fitting - different fittings different depths.
A small ruler will be sufficient or a vernier caliper will do nicely.
Without the make of the other fitting we cannot say, and even then it might or might not be shown on any drawing we can find.
Silicone tape along the base of the SharkBite valve should keep it from rotating on the pipe. Make sure the silicone tape overlaps itself (that's how it sticks). Make sure you allow enough time for the tape to fuse to itself as well.
Example silicone tape