"is ostensibly" is a correct and usable phrase in written English.
It is typically used to describe something that appears to be a certain way, but may actually be different. Here are a few examples: 1. "The company's CEO is ostensibly committed to diversity and inclusion, but their hiring practices tell a different story." 2. "The politician's public statements are ostensibly in support of environmental preservation, but their voting record paints a different picture." 3. "The new law is ostensibly aimed at reducing crime, but many experts believe it will actually lead to more discrimination against marginalized communities." Overall, "is ostensibly" is a useful phrase for describing a surface appearance or stated intention that may not align with the underlying reality.
Dictionary
is ostensibly
adverb
Seemingly, apparently, on the surface
Exact(60)
The commission is ostensibly independent.
It is ostensibly meant to ginger up Italy's sluggish courts.
(Dale is ostensibly working on a biography of Bierce).
This provision, too, is ostensibly aimed at cutting corruption.
This is ostensibly, as Teigen acknowledged, a "p.c".
Stiller's film is, ostensibly at least, about Hollywood.
In Pale Fire, Charles Kinbote is ostensibly an academic ostensibly commentating on what is ostensibly his best friend's poem.
Qoyllur Rit'i (pronounced KOL-yer REE-chee) is ostensibly a Catholic festival.
Her character Tara is ostensibly in her mid 20s but looks far older.
This measure is ostensibly designed to prevent pollution levels from spiking.
The work is ostensibly about light and atmosphere, not gods or heroes or particular people.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com