Non- congruent tiling - one more

Seeking a little clarification on https://arxiv.org/pdf/2004.01034

The paper establishes that there are tilings of the plane by convex quadrilaterals all mutually non congruent and with same area and perimeter.

QUESTIONS
1. given any convex quadrilateral Q can we form tilings with Q and choosing other quads of same perimeter and area as Q and all mutually non congruent?

2. If the answer is “not in general”, how will we characterise Qs which can function as ‘seed tiles’?

And can such tilings be achieved selecting from convex quads having any possible {area, perimeter} pair of values?

More soon on this hopefully...