It shows the error in the console:
/usr/bin/webhttrack(4300): cound not find any suitable browser
I found that it needed any binary file from the list below, placed on any of the paths:
xdg-open sensible-browser x-www-browser www-browser iceape mozilla firefox
icecat iceweasel abrowser firebird galeon konqueror opera chrome chromium
Next command, executed as root, solves the problem:
ln -s tazweb /usr/bin/www-browser
Next warning in the console about wrong option in the 'ps' command: Busybox's tiny version of 'ps' not supported the option '-U'. I think the installation of the procps package will solve this small problem.