Why the two are so far apart
PayPal stacks three charges on a cross-border payment: a percentage plus a fixed fee, a surcharge because the payer is abroad, and a conversion markup of 3% for European accounts (4% for US ones) applied to what is left. On the US example those are $145.35, $99.50 and $142.65.
Wise skips the first two because the client pays local account details by bank transfer, and it converts at the mid-market rate with an explicit fee: 0.29% from dollars to euros, 0.33% from pounds. The whole cost is that one line.
Even with no currency to convert, PayPal is not cheap: a €1,000.00 payment from Germany to Spain costs €29.35. With Wise, a euro transfer between two euro accounts costs nothing in this model.
PayPal's case is convenience and reach. A consumer who has never heard of you will press a PayPal button; the same person may not set up a bank transfer. For a business client paying a real invoice, that argument mostly disappears.