Except you could track the sales increases she got using Kworb's website. Just look at MM.
The lack of physicals hurt her. Her team should've shipped more (or at least had more to go throughout the week) and tried to pull a deal like Barbra and given us some fabricated sales by charging us for the vinyls or giving us CDs with tickets.
Why are people saying she outsold Britney Jean? It's 81k pure and 111k sps vs 107k pure, so as long as Perfume + Work Bitch sold a combined 40k in BJ's release week I'm pretty sure BJ still at least ties this in equivalent units.