Different fitted models yield identical forecasts

I'm trying to fit and forecast TSLM models with different time-t predictors added alongside the trend... for reasons I don't understand, several of the models yield identical predictions even though the the input test data appears different, and the coefficients in the models themselves appear different. Almost certainly this an error on my part.. let me know what's going wrong!

reprexdata.csv

suppressPackageStartupMessages({
    library(tidyverse)
    library(tsibble)
    library(fable)
    library(feasts)
})

proj_tract <- read_csv("path_to_reprexdata")

proj_tract <- as_tsibble(proj_tract, key = tractid, index = year)

train <- proj_tract %>%
    filter(year < 2019) 

test <- proj_tract %>%
    filter(year >= 2019) 

fit <- train %>%
    model(
        trend_only = TSLM(log(chh) ~ trend()),
        trend_w_dar = TSLM(log(chh) ~ trend() + log(ig_count_imptd)),
        trend_w_da1 = TSLM(log(chh) ~ trend() + log(prd_1)),
        trend_w_da2 = TSLM(log(chh) ~ trend() + log(prd_2)),
        trend_w_da3 = TSLM(log(chh) ~ trend() + log(prd_3)),
        trend_w_da4 = TSLM(log(chh) ~ trend() + log(prd_4)),
        trend_w_da5 = TSLM(log(chh) ~ trend() + log(prd_glmnet))
    )

fc <- forecast(
    fit,
    new_data = test
) %>% 
    hilo(.95)

res <- fc %>% 
    as_tibble() %>%
    rename("proj" = ".mean", "model" = ".model") %>%
    select(model, proj, lchh) %>%
    pivot_wider(names_from = model, values_from = proj)
head(res)

A subset of these models yield identical predictions -- help me understand why!

Start by running the supplied R reprex with reprexdata.csv, focusing on the TSLM model definitions and the forecast(fit, new_data = test) call. Compare the predictor columns in test with the fitted models and inspect the resulting forecasts. Done means explaining why the models produce identical predictions and identifying the relevant correction or expected behavior.