For the purposes of building a fair random number generator, obviously so. Especially if you include having everyone using the device also understand and agree that it is fair.

However, the question here is simply directly the question "How thick does a coin have to be to equal chances of landing on its side or either face?", in which case changing the design to something else is simply to answer a different question. At best you might try to extract something useful from the alternate formulation to bring back to your original question, but in this case I wouldn't see any value; we already know that we can construct n-sided symmetric objects from curved faces for n >= 1 (if you consider a sphere a 1 sided die) and it doesn't help the original question much.