I've never set off a smoke detector by
vaping, but I sure have seen it happen at a
vape convention where every other guy seemed to be in a one-man cloud competition. My house is heavily alarmed (both photocell and ionization smoke detectors, plus CO detectors), and we have set them off by cooking, steam, and letting the popcorn popper go a bit past optimum. We have also had what seem to be false alarms, which were probably caused by over-aged detectors. But never by
vaping - home or hotel. To be fair, I vape at low wattages (8-10 Watts) and fairly low VG (68/32 PG/VG), so I don't tend to generate a lot of visible vapor.
Smoke alarms only have a lifespan of about 10 years. Then it's time to replace your home smoke detectors - for your own safety as much as to avoid false alarms. For CO (carbon monoxide) detectors the lifespan is even shorter - replace after 5 years to be on the safe side. (All three types seem to get more sensitive as they age -
unless they totally fail and become completely insensitive.) Not much you can do about hotel detectors except don't stay at El-Cheapo Inn where they put off replacing them as long as possible.