There really is no one answer to this question.
Let's call this "scooped mids" speaker a consumer speaker.
Let's call this "flat speaker" a monitor.
Assume I mean phase distortion when I write about distortion.
If someone created the same speaker design and made both slightly different to have different frequency curves, you would have to adjust both to get them to sound like the other. If you introduce an eq to the consumer speaker to make it sound like a monitor, you will introduce distortion. The same goes for the other way around.
For the most part, there is no EQ in the speakers. They sound the way they do because of their design and circuitry.
If you have a really good consumer speaker and a cheap monitor, the consumer speaker may have less distortion to the point that it may still have less distortion even if you add EQ. If you have a really good monitor and a cheap consumer speaker, the consumer speaker will probably have even more distortion once you apply EQ.
All of this is hypothetical, in real life, it's not going to happen. You're not going to make a decent studio monitor sound like a consumer speaker no matter what you do. You can add EQ, but the added distortion is almost irrelevant as you're not going to make both sound the same anyway. It's not just a matter of "scooping" the mids. There's going to be much more variation, including frequency response throughout the entire range, the material the speaker is built with, etc...
The short answer to your original question is NO. However, the question itself is not really a valid question.
Let's call this "scooped mids" speaker a consumer speaker.
Let's call this "flat speaker" a monitor.
Assume I mean phase distortion when I write about distortion.
If someone created the same speaker design and made both slightly different to have different frequency curves, you would have to adjust both to get them to sound like the other. If you introduce an eq to the consumer speaker to make it sound like a monitor, you will introduce distortion. The same goes for the other way around.
For the most part, there is no EQ in the speakers. They sound the way they do because of their design and circuitry.
If you have a really good consumer speaker and a cheap monitor, the consumer speaker may have less distortion to the point that it may still have less distortion even if you add EQ. If you have a really good monitor and a cheap consumer speaker, the consumer speaker will probably have even more distortion once you apply EQ.
All of this is hypothetical, in real life, it's not going to happen. You're not going to make a decent studio monitor sound like a consumer speaker no matter what you do. You can add EQ, but the added distortion is almost irrelevant as you're not going to make both sound the same anyway. It's not just a matter of "scooping" the mids. There's going to be much more variation, including frequency response throughout the entire range, the material the speaker is built with, etc...
The short answer to your original question is NO. However, the question itself is not really a valid question.