If putting all your eggs in one basket doesn't bother you I guess it would be OK. If the linksdomain.com server is down for 10 minutes then the links on 100 sites would be also. 100sites x 10min = 16.6 hours of aggregated 'broken links' time.
If your server uptime is 99.9% thats still 8.8 hrs per year
per website.
link