You might have more pages due to the extra size of each tuple, but it’s not likely to be a big difference.
Close, it’s 2 bits/page :-)
It’s not that it bloats, it’s that the hits are scattered among many pages. My wording wasn’t great on that point.
Some tests demonstrating this are here [0].
[0]: https://www.cybertec-postgresql.com/en/unexpected-downsides-...
You might have more pages due to the extra size of each tuple, but it’s not likely to be a big difference.