watchdog: wdt-uclass.c: refactor initr_watchdog()

In preparation for handling all DM watchdogs in watchdog_reset(), pull
out the code which handles starting (or not) the gd->watchdog_dev
device.

Include the device name in various printfs.

Reviewed-by: Simon Glass <sjg@chromium.org>
Reviewed-by: Stefan Roese <sr@denx.de>
Signed-off-by: Rasmus Villemoes <rasmus.villemoes@prevas.dk>