> The signal will continue over the seam between two windows, meaning you will cut the wave in the signal "in half".

You can window the wavelet, then slide the finite-duration wavelet by a few samples at a time, even if the wavelet is hundreds to thousands of samples long. This is possible in STFT as well (each part of the original signal shows up in many separate FFTs).

Again, I don't know the implementation details of wavelet transforms. Maybe I'll look into your repo when I have time. What's your asymptotic and practical runtime?