It does seem to impact rendering.
This could be very data dependent. I did a test on the townlands data from: https://www.townlands.ie/page/download/
And the version in the QGIS project CRS was faster, both ways.
There could be other variables. Like making sure the geometry types are defined.
My code for creating the tables:
create table render_test.town_4326
as
select ogc_fid,
name_tag,
wkb_geometry::geometry(multipolygon, 4326) as geom
from osm.townlands;
create index idx_town_4326_geom on render_test.town_4326 using gist (geom);
vacuum analyze render_test.town_4326;
create table render_test.town_29902
as
select ogc_fid,
name_tag,
st_transform(wkb_geometry, 29902)::geometry(multipolygon, 29902) as geom;
from osm.townlands
create index idx_town_29902_geom on render_test.town_29902 using gist (geom);
vacuum analyze render_test.town_29902;
Project in EPSG:29902:
First go:
2022-08-01T00:52:05 WARNING 2852 ms: town_4326_cb00dd17_172a_4bfd_8ab7_ad3ee2dd1a50
2022-08-01T00:52:05 WARNING 2117 ms: town_29902_c9954276_b16f_4a91_8a00_fa115f38cf2b
2022-08-01T00:52:05 WARNING 2036 ms: Labeling
2022-08-01T00:52:05 WARNING 0 ms: Annotations_449fae61_b4c5_4aa6_b07d_3f750cdc7845
2022-08-01T00:52:05 WARNING ---
2022-08-01T00:52:05 WARNING Canvas refresh: 5009 ms
29902 layer is faster at 2117 ms. Compared to 2852 ms for 4326 layer.
Second go:
2022-08-01T00:54:28 WARNING 2673 ms: town_4326_cb00dd17_172a_4bfd_8ab7_ad3ee2dd1a50
2022-08-01T00:54:28 WARNING 1840 ms: town_29902_c9954276_b16f_4a91_8a00_fa115f38cf2b
2022-08-01T00:54:28 WARNING 1 ms: Labeling
2022-08-01T00:54:28 WARNING 0 ms: Annotations_449fae61_b4c5_4aa6_b07d_3f750cdc7845
2022-08-01T00:54:28 WARNING ---
2022-08-01T00:54:28 WARNING Canvas refresh: 2696 ms
29902 layer is again faster at 1840 ms. Compared to 2673 ms for 4326 layer.
Project in EPSG:4326:
First go:
2022-08-01T00:56:20 WARNING 2109 ms: town_29902_c9954276_b16f_4a91_8a00_fa115f38cf2b
2022-08-01T00:56:20 WARNING 1313 ms: town_4326_cb00dd17_172a_4bfd_8ab7_ad3ee2dd1a50
2022-08-01T00:56:20 WARNING 0 ms: Labeling, Annotations_449fae61_b4c5_4aa6_b07d_3f750cdc7845
2022-08-01T00:56:20 WARNING ---
2022-08-01T00:56:20 WARNING Canvas refresh: 2123 ms
Now 4326 layer is faster at 1313 ms. Compared to 2109 ms for 29902 layer.
Second go:
2022-08-01T00:57:02 WARNING 3533 ms: town_29902_c9954276_b16f_4a91_8a00_fa115f38cf2b
2022-08-01T00:57:02 WARNING 1662 ms: town_4326_cb00dd17_172a_4bfd_8ab7_ad3ee2dd1a50
2022-08-01T00:57:02 WARNING 0 ms: Labeling, Annotations_449fae61_b4c5_4aa6_b07d_3f750cdc7845
2022-08-01T00:57:02 WARNING ---
2022-08-01T00:57:02 WARNING Canvas refresh: 3550 ms
4326 layer is still faster at 1662 ms. Compared to 3533 ms for 29902 layer.
So native CRS is faster to render in my tests.
explain analyze
using a spatial query (a bounding box) on both tables and see the difference