Hi. YES, It would be right to say that the immediate suspect falls on the tensioner.
But if the suspicion falls on the tensioner, the tensioner should be replaced, because in the test it comes out FALSE NORMAL (test by pressing in with the force of the hand). The "test" of the tensioner is performed by counting the kilometers, and it is recommended to replaced it earlier every 20,000 km.
As a result of abrasion the spacing increases, and then the thickness of the shims has to be increased too. But you ware measuring a smaller space than required, which is weird ???
YES
And your friend is right, the heat does affect on the Valve Clearance, in the heat the metals are expanding. The Valve Clearance measurements given by the manufacturer are measurable when the engine is cold at room temperature (about 25 degrees Celsius). It is therefore advisable to perform the test after a night's rest, when the engine is cold.
1. How many Km's have been past since the last tensioner replacement ?
2. Was the Valve Clearance test done with a cold engine?