The New Raspberry pi ( 4 B model) comes with a better processor and more RAM. And, it should be fairly faster than its predecessor. Although, no support for SATA HDD is bottleneck in terms of storage speeds.
Anyways, with better speed and RAM storage its should be the good solution for hosting site. Right now (July 2nd, 2019), only OS that supports the hardware is Raspbian Buster ( a Debian based Linux distribution). In coming days we might see the support for the UBUNTU Server and other A+ grade operating systems for the hardware.
Nontheless, few have tried installing Virtualmin on their Raspberry Pi 2,3 and 3+ models running Raspbian OS. Virtualmin makes a great match for these low power single board computers running on linux distributions. An 'install.sh' script for ARM processors with Raspbian/Ubuntu Server OS would be helping people who wants to host their site from home.