Using multiple free accounts? Automatically reading a webpage? Sounds like something I wouldn't lose sleep over if I were doing it for my personal use. There's nothing inherently immoral about breaking a ToS, in fact some of the things they put in those are immoral. It's not illegal to break a ToS either, but it can get you banned from the website. It's really just... cheezy.
The main problem here is that these are temporary solutions. Fine for a one-time operation, but you can't rely on them past a month. If it's something your company wants forever, they'll have to pay you to keep doing it/updating it, and deal with the downtime everytime the website changes or the free service closes your accounts.