Scaling "10 times better" is frankly pretty ridiculous.
It may be, on the lower side. It could be worse than 10x.
What's your blockchain size right now?
Blockchain size is not a measure of scalability (and as I said there is no useful numeric comparison of "scalability"), but the size is something like 2.5 GB.
So bitcoin is like 25x in terms of blockchain use, but has 2k-3k txs per 10 minutes.
Monero, from the looks of it, has not even 10 txs in the last hour.
Anyway, let's say btc does 200k txs per day and monero does 200 txs per day. That's 1000 to 1 in terms of txs, yet the blockchain isn't 1/1000 of BTC, it's 1/25.
My 10x may be very conservative.