Does Increasing Resolution Lead to Have a Poor Resolution?
Indeed, that's the Heisenberg Uncertainty Principle - you can't have both very good frequency and time resolution. You always have to sacrifice something. In case of Short Time Fourier Transform it's straightforward, but for wavelets are being 'squeezed', which is changing their frequency resolution. Figure below describes more than a thousand words:



EDIT:
Because you are still trying to understand why it is like that, then please mind that by increasing the frequency of the wavelet ($f_c$), you should also shrink it in time (decrease $f_b$). For more info please refer for example to: Paul Addison - The Illustrated Wavelet Transform Handbook. You can find there a following graphs (Section 2.12):