Four states switched their primaries from caucuses to primaries between 2016 and 2020: Maine, Minnesota, Colorado, and Utah, providing an additional test. Turnout increased dramatically in all four states (Vox.com):
+-------+---------+---------+----------+
| State | 2016 | 2020 | Increase |
+-------+---------+---------+----------+
| CO | 122,000 | 755,000 | 6.2 |
| ME | 47,000 | 194,000 | 4.1 |
| MN | 205,000 | 745,000 | 3.6 |
| UT | 77,000 | 175,000 | 2.3 |
+-------+---------+---------+----------+
Of course, the races are very different (two vs. many candidates, an incumbent president, no Republican primary), and Super Tuesday turnout grew over the same time period, but only about 1.3x overall (Vox.com). The US population grew by about 1.02x in the same time period.
And, as Don pointed out, participation in the 2016 Washington non-binding primary was 30x higher than the caucus, even though it was two months later, and non-binding. Although, as I commented, the primary ballots were mailed to every voter, so the barrier to participation is (rightfully) much lower than an in-person primary.