To keep things simple, let’s think about a 2-way speaker. Let’s assume you’ll use a 6½" mid woofer, and you’ve already decided on a cabinet design that provides decent bass response. For example, look at the
Seas CA18RNX coated paper woofer.
How do you choose a crossover frequency that keeps an overall smooth frequency response, and preserves the woofer's high frequency off-axis sound as much as possible? This is critical for a speaker's image creating ability.
Generally speaking, the higher the crossover frequency, the less audible the crossover is, as it pushes the crossover above the frequency range where human hearing is most sensitive. But there is a trade-off. As you increase the crossover frequency, the off-axis response of the woofer deteriorates. This will hurt the speaker’s ability to create good imaging. So a lower crossover frequency is important.
Imagine a 4th order crossover at 2000 Hz. When sound is exactly at 2000 Hz, both the woofer and tweeter are equally loud. Within an octave of the crossover frequency (from 1000 to 4000 Hz), both the woofer and tweeter contribute to the sound enough so that differences in their dispersion are noticeable. If you push the crossover frequency too high, the woofer beams sound instead of dispersing it widely. In this same frequency range, the tweeter will be dispersing it's sound widely. Sound imaging works much better if you avoid this.
This woofer's frequency response is shown below. Note that 3 traces are shown for high frequency responses above 500 Hz. They are measured on-axis (darker black line), and 2 off-axis angles, 30° and 60°.
Note how the off-axis response curves drop off at lower frequencies than the on-axis curve. At 2000 Hz, the on-axis and 30° curves are close together, but the 60° curve has dropped by about 5 dB. So, as a first guess, I'd go no lower than 2000 Hz for a crossover frequency. There are many reasonably priced tweeters available that can be crossed as low as 2000 Hz. To go lower will increase a tweeter's cost by quite a lot.
Just for grins, look at the manufacturer's frequency response curves for a smaller 5¼" and a larger 8" woofer. Comparing their off-axis responses will show interesting differences. You'll see why no good 2-way speaker is made with an 8" woofer and a 1" dome tweeter.
https://www.madisoundspeakerstore.com/approx-5-woofers/seas-prestige-ca15rly-h1216-5.5-coated-paper-cone-woofer/
https://www.madisoundspeakerstore.com/approx-8-woofers/seas-prestige-ca22rnx-h1288-8-coated-paper-cone-woofer/