I ordered a Dyson AM06 on Thursday 2018-07-19 under the afternoon and got on Friday 2018-07-20, despite stating on their webpage that sending out packets is slow due to the number of high orders. The packet came via UPS from Germany.
Dyson has a working and helpful support on their webpage and the Swedish localization seems to be nice. The support do speak Swedish on their webpage. Note however that they don't have the usual Swedish two factor authentication. In case you are sitting on top of a VPN service, your order can be declined, so be careful.