Why a nest box does not need a perch
A little wooden dowel looks welcoming to people, but small hole-nesting birds can use an entrance without it.

The familiar birdhouse silhouette
A peaked roof, a round hole and a tiny perch make a recognisable ornament. That familiar shape is so common that a box without the perch can look unfinished. For an ordinary small hole-fronted nest box, however, the dowel is not a necessary feature.
Tits and sparrows can arrive at and grip the entrance without a purpose-built landing bar. BTO specifically advises that external perches are unnecessary and can provide a foothold for predators. It is a detail worth checking when a decorative birdhouse is sold as a nesting box.
Assess the whole object
Removing a perch does not automatically turn an ornament into suitable housing. Some decorative boxes also have tiny interiors, no maintenance access or materials that offer poor insulation. Before adapting one, compare the complete construction with a recognised species plan.
If the item is simply a garden decoration, there is nothing wrong with keeping it as an ornament in a place that will not invite nesting. But do not count it as wildlife provision because it has a hole on the front. A separate, correctly designed box can serve that purpose more reliably.
Deal with changes before use
If you have a sound new box with a removable perch, make any alteration while it is empty and before installation. Check whether the dowel is structural or whether removing it will leave a hole admitting rain. Do not pull at it so hard that the front board splits. Where the construction is unclear, ask the manufacturer rather than improvising.
An occupied box is different. Do not approach with tools to improve a minor feature while a pair is nesting. Note the concern and plan the work for an inactive period; an urgent threat needs advice from someone experienced with nesting birds.
Avoid replacing it with another ledge
The same thinking applies to the surroundings. Hanging a perch-free box immediately above a broad shelf, stacked plant pot or convenient fence rail can still provide an approach to its front. Look beyond the product and consider the position in which it will be used.
There is no need to build a landing platform so birds can queue for the entrance. Quiet surroundings, a suitable chamber and a sound mounting do more for the box than an extra piece of timber beneath the hole.