We do access webmail from android phones and, except for the slowness, the outbound from webmail does function.
Godaddy says there is no problem and suggests we use Godaddy webmail instead of Thunderbird - which is not convenient since we simultaneously manage 10 or so mailboxes for different domains - and the Godaddy webmail interface has become very slow to load. Changing port settings has no effect on this intermittent problem.
It has failed in the middle of an outgoing batch several times (when SMTP server has obviously been 'found' - and sometimes it will complete the batch and leave one or two sitting in the outbound folder. SMTP outbound fails intermittently and error messaes indicate the SMTP server cannot be found or similar message. We use the Thunderbird mail client and early October is when we first started noticing the problems (had been fine before that). We use Windows and are having the same / similar problem(s) with godaddy email.