Considering that SQLite is licensed public domain with the express permission of others selling modifications of it without restrictions (even without acknowledging the original authors), I'd be surprised they mind.
For those wondering, I quote the copyright release document:
> Because the SQLite software found at http://www.sqlite.org/ is in the public domain, anyone is free to download the SQLite software from that website, make changes to the software, use, distribute, or sell the modified software, under either the original name or under some new name, without any need to obtain permission, pay royalties, acknowledge the original source of the software, or in any other way compensate, identify, or notify the original authors.