This is a small pilot study only, so don't get too excited, but I thought it was interesting. They found that OSDI scores improved, with the nasal steroid treatment though clinical clinical measurements were unchanged (Schirmer, TBUT, IOP)

Int Arch Allergy Immunol. 2018 May 7:1-6. doi: 10.1159/000488599. [Epub ahead of print]
A Pilot Study Investigating the Impact of Topical Nasal Steroid Spray in Allergic Rhinitis Patients with Dry Eye.
Yenigun A, Elbay A, Dogan R, Ozturan O, Ozdemir MH.

Abstract
OBJECTIVE:
The aim of this study is to demonstrate the effect of nasal steroid treatment on intraocular pressure and dry eye in allergic rhinitis patients with dry eye.

MATERIALS AND METHODS:
Twenty-nine patients with a diagnosis of allergic rhinitis and dry eye were included. Symptoms and findings of patients before and after nasal steroid therapy were compared.

RESULT:
Ocular Surface Disease Index scores for dry eye symptoms showed significant improvement after nasal steroid treatment (p = 0.003). In the Schirmer test, no significant change was observed in the right or left eye (p = 0.167 and p = 0.489). For the tear film break-up time, no significant change was observed in the right or left eye (p = 0.076 and (p = 0.170). No significant change was observed in the right eye or the left eye in an intraocular pressure test (p = 0.893 and p = 0.495).

CONCLUSION:
In our study, symptoms of dry eye with allergic rhinitis were significantly improved with nasal steroid therapy, without affecting the intraocular pressure.